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Daniel [21]
3 years ago
5

In a certain school,260 students were present on monday,270 on tuesday,280 on wednesday,and 250 on thursday find the average num

ber of students present on those four days
Mathematics
1 answer:
Lunna [17]3 years ago
6 0

Answer:

The average number of students present are 265

Step-by-step explanation:

Given the number of students present on monday were 260, the number of students present on tuesday were 270 , the number of students present on wednesday were 280 , the number of students present on thursday are 250.

Now the numbers are 260, 270, 280, 250

We should basically find the average of these four observations

We know that the Average=\frac{sum of the observations}{number of observations}

sum of the observations is 260+270+280+250=1060

number of observations are 4

Average=  \frac{1060}{4}   =265

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Lines l and m are parallel
soldi70 [24.7K]

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

4 0
3 years ago
9x+14=13x-10 I need the individual steps
kogti [31]
First start by subtracting 9x from both sides and getting 14=4x-10. Then add ten to both sides getting 24=4x. Then divide 24 by 4 and you get x=6
8 0
3 years ago
Read 2 more answers
Si se compran tres chicles y un tamarindo y se paga $15 y se compran dos chicles y tres tamarindos y se paga $31 ¿que cuesta cad
lorasvet [3.4K]

Responder:

9

Explicación paso a paso:

Dejar :

Mascar chicle = x

Tamarindo = y

3x + y = 15 - - - (1)

2x + 3y = 31 - - - (2)

De 1)

y = 15 - 3x - - (3)

Por lo tanto,

2x + 3 (15 - 3x) = 31

2x + 45 - 9x = 31

-7x = 31 - 45

-7x = - 14

x = 2

De (3):

y = 15 - 3 (2)

y = 15 - 6

y = 9

3 0
3 years ago
A line m is perpendicular to an angle bisector of ∠A. The sides of ∠A intersect this line m at points M and N. Prove that △AMN i
Ray Of Light [21]

Answer:


Step-by-step explanation:

<em><u>Given</u></em><u>:</u>       A line m is perpendicular to the angle bisector of ∠A. We call this  

                 intersecting point as D. Hence, in figure ∠ADM=∠ADN =90°.

                 AD is angle bisector of ∠A. Hence, ∠MAD=∠NAD.

<u><em>To Prove</em></u>:   <em><u>ΔAMN is an isosceles triangle. i.e any two sides in ΔAMN are</u></em>

<em>                    </em><em><u>equal. </u></em>

<em><u>Solution</u></em>:  Now, In ΔADM and ΔADN

                 ∠MAD=∠NAD     ...(1) (∵Given)

                  AD=AD                ...(2) (∵common side)

                  ∠ADM=∠ADN     ...(3) (∵Given)

                  <u><em> Hence, from equation (1),(2),(3) ΔADM ≅ ΔADN</em></u>

                                                         ( ∵ ASA  congruence rule)

                  ⇒<u><em> AM=AN</em></u>

                  Now, In Δ AMN

                 AM=AN (∵ Proved)

                  Hence, ΔAMN is an isosceles  triangle.


7 0
3 years ago
Find the value of x.
kherson [118]

Answer:

46degrees

Step-by-step explanation:

Find the value of x.

Using the circle theorem which states that

The angle at the vertex is half the difference that at the intercepted arcccs

x = 1/2(152 - 60)

x = 1/2 (92)

x = 92/2

x = 46degrees

Hence the value of x is 46degrees

6 0
3 years ago
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